Title

FUZZY NORMAL CONGRUENCES AND
FUZZY COSET RELATIONS ON GROUPS

Authors

S. Khosravi Shoar
Department of Mathematics
Fasa University
Fasa, IRAN

Abstract

The aim of this work is to introduce the concept of a fuzzy normal congruence on a group and illustrate this subject by some examples. We also introduce the concept of a fuzzy coset relation on a group and define a natural composition between two fuzzy coset relations and by this operation we prove that the set of all fuzzy coset relations is a group.

History

Received: October 24, 2016
Revised: April 10, 2017
Published: July 14, 2017

AMS Classification, Key Words

AMS Subject Classification: 03E72, 20N25
Key Words and Phrases: fuzzy relation, fuzzy congruence, fuzzy normal congruence, fuzzy coset relation

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How to Cite?

DOI: 10.12732/ijpam.v115i2.2 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 2
Pages: 211 - 224

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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